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A Two‐Dimensional Computational Droplet Contact Model
Author(s) -
Osman Muhammad,
Sauer Roger A.
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110043
Subject(s) - contact angle , finite element method , laplace transform , laplace's equation , mechanics , capillary action , constraint (computer aided design) , surface (topology) , materials science , physics , mathematics , mathematical analysis , composite material , geometry , thermodynamics , partial differential equation
The interaction between capillary fluid films and micro‐structural rough surfaces is one of the main challenges in studying self‐cleaning mechanisms. The surface behavior of the deformable fluid film is governed by the Young‐Laplace equation, which is highly non‐linear. Therefore, a numerical solution is introduced using the finite element method, based on a continuum mechanical formulation. Surface and line contact at the fluid‐structure interface are modeled by enforcing a contact constraint, and a contact angle, respectively. The numerical solution is validated against the analytical solution of a test case. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)